How to determine if a system has infinite many solutions by graphing

The video tutorial covers graphing equations, focusing on rewriting equations to eliminate fractions and simplify graphing. It explains how to graph equations with known intercepts and slopes, and demonstrates using multiplication to simplify equations. The tutorial concludes with a discussion on infinite solutions and dependent equations, emphasizing the concept of consistent and dependent systems.

What is the first step in graphing a linear equation?

• Find the x-intercept

• Plot the y-intercept

• Determine the axis of symmetry

• Calculate the midpoint

How can you simplify an equation with fractions before graphing?

• Add a constant to both sides

• Multiply through by a common denominator

• Subtract the fraction from both sides

• Divide by the fraction

What happens when two lines coincide on a graph?

• They have no points in common

• They are parallel

• They share infinite points

• They intersect at one point

What term describes a system of equations with infinite solutions?

• Inconsistent

• Dependent

• Independent

• Contradictory

Which of the following describes a consistent system of equations?

• Undefined solutions

• One solution

• No solutions

• Infinite solutions